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Based on the extended Huygens-Fresnel principle, the propagations of a partially coherent vortex beam through atmospheric turbulence along an uplink path and a downlink path are studied, where the Gaussian Schell-model (GSM) vortex beam is taken as a typical example of partially coherent vortex beam. The analytical expressions for the average intensity, rms width and cross-spectral density function of GSM vortex beam propagating through atmospheric turbulence along a slant path are derived and used to study the influence of atmospheric turbulence along an uplink path and a downlink path on GSM vortex beam propagation and on coherence vortex. It is shown that under the same conditions the influence of atmospheric turbulence along a downlink path on GSM vortex beam propagation is smaller than that along a uplink path, and the conservation distance of the topological charge of GSM vortex beam along a downlink path is longer than that along a uplink path. The results are explained in physics.
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Keywords:
- partially coherent vortex beam /
- coherence vortex /
- atmospheric turbulence /
- propagation along a uplink path and a downlink path
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[2] Andrews L C, Phillips R L 1998 Laser Beam Propagation through Random Media (Bellingham, Washington: SPIE Press)
[3] Wu J, Boardman A D 1991 J. Mod. Opt. 38 1355
[4] Gbur G, Wolf E 2002 J. Opt. Soc. Am. A 19 1592
[5] Salem M, Shirai T, Dogarin A, Wolf E 2003 Opt. Commun. 216 261
[6] Shirai T, Dogarin A, Wolf E 2003 J. Opt. Soc. Am. A 20 1094
[7] Li J H, Yang A L, Lü B D 2008 J. Opt. Soc. Am. A 25 2670
[8] Zhang E T, Ji X L, Lu B D 2009 Chin. Phys. B 18 571
[9] Chen B S, Pu J X 2009 Chin. Phys. B 18 1033
[10] Ji X L, Pu Z C 2010 Chin. Phys. B 19 029201
[11] Dogariu A, Amarande S 2003 Opt. Lett. 28 10
[12] Cang J, Zhang Y X 2009 Acta Phys. Sin. 58 2444 (in Chinese) [仓 吉、张逸新 2009 物理学报 58 2444]
[13] Chu X X, Liu Z J, Wu Y 2008 J. Opt. Soc. Am. A 25 74
[14] Wang H, Wang X Z, Zeng A J, Yang K 2008 Acta Phys. Sin. 57 634 (in Chinese) [王 华、王向朝、曾爱军、杨 坤 2008 物理学报 57 634]
[15] Wang H, Wang X Z, Zeng A J, Yang K 2007 Acta Opt . Sin. 27 1548 (in Chinese) [王 华、王向朝、曾爱军、杨 坤 2007 光学学报27 1548]
[16] Gbur G, Tyson R K 2008 J. Opt. Soc. Am. A 25 225
[17] Maleev I D, Palacios D M, Marathay A S, Swartzlander G A Jr. 2004 J. Opt. Soc. Am. B 21 1895
[18] Wang S C H, Plonus M A 1979 J. Opt. Soc. Am. 69 1297
[19] Leader J C 1978 J. Opt. Soc. Am. 68 175
[20] Yura H T 1972 Appl. Opt. 11 1399
[21] Gradshteyn I S, Ryzhik I M 2007 Table of Integrals, Series and Products 7th ed. (New York: Academic)
[22] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge U. Press).
[23] Gbur G, Visser T D 2003 Opt. Commun. 222 117
[24] Freund I, Shvartsman N 1994 Phys. Rev. A 50 5164
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[1] Strohbehn J W 1978 Laser Beam Propagation in the Atmosphere (New York: Springer-Verlag)
[2] Andrews L C, Phillips R L 1998 Laser Beam Propagation through Random Media (Bellingham, Washington: SPIE Press)
[3] Wu J, Boardman A D 1991 J. Mod. Opt. 38 1355
[4] Gbur G, Wolf E 2002 J. Opt. Soc. Am. A 19 1592
[5] Salem M, Shirai T, Dogarin A, Wolf E 2003 Opt. Commun. 216 261
[6] Shirai T, Dogarin A, Wolf E 2003 J. Opt. Soc. Am. A 20 1094
[7] Li J H, Yang A L, Lü B D 2008 J. Opt. Soc. Am. A 25 2670
[8] Zhang E T, Ji X L, Lu B D 2009 Chin. Phys. B 18 571
[9] Chen B S, Pu J X 2009 Chin. Phys. B 18 1033
[10] Ji X L, Pu Z C 2010 Chin. Phys. B 19 029201
[11] Dogariu A, Amarande S 2003 Opt. Lett. 28 10
[12] Cang J, Zhang Y X 2009 Acta Phys. Sin. 58 2444 (in Chinese) [仓 吉、张逸新 2009 物理学报 58 2444]
[13] Chu X X, Liu Z J, Wu Y 2008 J. Opt. Soc. Am. A 25 74
[14] Wang H, Wang X Z, Zeng A J, Yang K 2008 Acta Phys. Sin. 57 634 (in Chinese) [王 华、王向朝、曾爱军、杨 坤 2008 物理学报 57 634]
[15] Wang H, Wang X Z, Zeng A J, Yang K 2007 Acta Opt . Sin. 27 1548 (in Chinese) [王 华、王向朝、曾爱军、杨 坤 2007 光学学报27 1548]
[16] Gbur G, Tyson R K 2008 J. Opt. Soc. Am. A 25 225
[17] Maleev I D, Palacios D M, Marathay A S, Swartzlander G A Jr. 2004 J. Opt. Soc. Am. B 21 1895
[18] Wang S C H, Plonus M A 1979 J. Opt. Soc. Am. 69 1297
[19] Leader J C 1978 J. Opt. Soc. Am. 68 175
[20] Yura H T 1972 Appl. Opt. 11 1399
[21] Gradshteyn I S, Ryzhik I M 2007 Table of Integrals, Series and Products 7th ed. (New York: Academic)
[22] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge U. Press).
[23] Gbur G, Visser T D 2003 Opt. Commun. 222 117
[24] Freund I, Shvartsman N 1994 Phys. Rev. A 50 5164
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